LCM the 8 and 12 is the the smallest number among all usual multiples that 8 and 12. The first few multiples of 8 and 12 space (8, 16, 24, 32, . . . ) and also (12, 24, 36, 48, 60, . . . ) respectively. There room 3 typically used approaches to uncover LCM of 8 and 12 - by department method, by prime factorization, and also by listing multiples.

You are watching: Least common factor of 8 and 12

1. | LCM of 8 and also 12 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM of 8 and also 12 is 24.

**Explanation: **

The LCM of 2 non-zero integers, x(8) and also y(12), is the smallest confident integer m(24) that is divisible by both x(8) and y(12) without any kind of remainder.

Let's look in ~ the various methods for finding the LCM of 8 and also 12.

By prime Factorization MethodBy department MethodBy Listing Multiples### LCM that 8 and 12 by prime Factorization

Prime factorization of 8 and also 12 is (2 × 2 × 2) = 23 and (2 × 2 × 3) = 22 × 31 respectively. LCM of 8 and also 12 deserve to be derived by multiplying prime components raised to your respective highest possible power, i.e. 23 × 31 = 24.Hence, the LCM the 8 and 12 by prime factorization is 24.

### LCM that 8 and also 12 by division Method

To calculation the LCM the 8 and also 12 through the department method, we will certainly divide the numbers(8, 12) by their prime determinants (preferably common). The product of this divisors offers the LCM that 8 and 12.

**Step 3:**continue the procedures until just 1s space left in the last row.

The LCM that 8 and also 12 is the product of all prime number on the left, i.e. LCM(8, 12) by division method = 2 × 2 × 2 × 3 = 24.

### LCM of 8 and 12 through Listing Multiples

To calculate the LCM of 8 and also 12 by listing out the common multiples, we deserve to follow the given below steps:

**Step 1:**list a few multiples that 8 (8, 16, 24, 32, . . . ) and 12 (12, 24, 36, 48, 60, . . . . )

**Step 2:**The common multiples from the multiples that 8 and 12 are 24, 48, . . .

**Step 3:**The smallest usual multiple of 8 and also 12 is 24.

∴ The least typical multiple of 8 and also 12 = 24.

**☛ likewise Check:**

## FAQs ~ above LCM of 8 and also 12

### What is the LCM of 8 and also 12?

The **LCM the 8 and also 12 is 24**. To find the least typical multiple (LCM) that 8 and also 12, we require to uncover the multiples that 8 and also 12 (multiples of 8 = 8, 16, 24, 32; multiples that 12 = 12, 24, 36, 48) and also choose the smallest multiple that is specifically divisible through 8 and also 12, i.e., 24.

### What is the the very least Perfect Square Divisible by 8 and also 12?

The least number divisible by 8 and 12 = LCM(8, 12)LCM the 8 and 12 = 2 × 2 × 2 × 3

### Which of the adhering to is the LCM the 8 and also 12? 3, 5, 45, 24

The worth of LCM the 8, 12 is the smallest usual multiple the 8 and also 12. The number to solve the given problem is 24.

### If the LCM of 12 and also 8 is 24, uncover its GCF.

LCM(12, 8) × GCF(12, 8) = 12 × 8Since the LCM of 12 and 8 = 24⇒ 24 × GCF(12, 8) = 96Therefore, the GCF (greatest typical factor) = 96/24 = 4.

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### What is the Relation in between GCF and also LCM that 8, 12?

The adhering to equation can be supplied to refer the relation between GCF and LCM that 8 and also 12, i.e. GCF × LCM = 8 × 12.